(a) Consider the eigenvalue problem -X" = AX, 0< x < / X'(0) + X(0) = 0, X(I) = 0. %3D i. Show, without calculating the eigenvalues and eigenfunctions explicitly, that the eigenfunctions corresponding to distinct eigenvalues are orthogonal. (You may assume that all eigenvalues are real and all eigenfunctions are real-valued.)

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